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9424200096 = 253337329243
BaseRepresentation
bin10001100011011100…
…11110000110100000
3220022210021222011000
420301232132012200
5123300043400341
64155053152000
7452353244013
oct106156360640
926283258130
109424200096
113aa6796023
1219b018b600
13b7261597c
146558b937a
153a25708b6
hex231b9e1a0

9424200096 has 96 divisors (see below), whose sum is σ = 27561885120. Its totient is φ = 3132870912.

The previous prime is 9424200083. The next prime is 9424200109. The reversal of 9424200096 is 6900024249.

It is an interprime number because it is at equal distance from previous prime (9424200083) and next prime (9424200109).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9424200096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307651 + ... + 336893.

It is an arithmetic number, because the mean of its divisors is an integer number (287102970).

Almost surely, 29424200096 is an apocalyptic number.

9424200096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9424200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780942560).

9424200096 is an abundant number, since it is smaller than the sum of its proper divisors (18137685024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9424200096 is a wasteful number, since it uses less digits than its factorization.

9424200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29635 (or 29621 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9424200096 is about 97078.3193921279. The cubic root of 9424200096 is about 2112.2638487513.

The spelling of 9424200096 in words is "nine billion, four hundred twenty-four million, two hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 373 432 746 864 1119 1492 2238 2984 3357 4476 5968 6714 8952 10071 11936 13428 17904 20142 26856 29243 35808 40284 53712 58486 80568 87729 107424 116972 161136 175458 233944 263187 322272 350916 467888 526374 701832 789561 935776 1052748 1403664 1579122 2105496 2807328 3158244 4210992 6316488 8421984 10907639 12632976 21815278 25265952 32722917 43630556 65445834 87261112 98168751 130891668 174522224 196337502 261783336 294506253 349044448 392675004 523566672 589012506 785350008 1047133344 1178025012 1570700016 2356050024 3141400032 4712100048 9424200096